*label_important*IMPORTANT SOLVED QUESTIONS

#### *label_important* Module 1

#### *label_important*Module 2

#### *label_important* Module 3

#### *label_important* Module 4

#### *label_important* Module 5

*label_important*1. VECTOR CALCULUS

8 Chapters | 109 Solved Problems

#### *label_important* 1.1 Gradient

#### *label_important*1.2 Directional derivatives

#### *label_important* 1.3 Curl & Divergence

#### *label_important* 1.4 Solenoidal & Irrotational

#### *label_important* 1.5 Line Integral

#### *label_important* 1.6 Surface Integral

#### *label_important* 1.7 Greens Theorem

#### *label_important* 1.8 Stokes Theorem

*label_important*2. VECTOR SPACE AND LINEAR TRANSFORMATIONS

12 Chapters | 62 Solved Problems

#### *label_important* 2.1 Vector Spaces

#### *label_important*2.2 Sub Spaces

#### *label_important* 2.3 Linear Combination And Systems Of Equations

#### *label_important* 2.4 Linear Dependence And Linear Independence

#### *label_important* 2.5 Bases and dimension

#### *label_important* 2.6 Finite Dimensional Vector Space

#### *label_important* 2.7 Linear Transformations

#### *label_important* 2.8 Algebra of Transformation

#### *label_important* 2.9 Rank and Nullity of a Linear Operator

#### *label_important* 2.10 Rank and Nullity Theorem

#### *label_important* 2.11 Inner product spaces

#### *label_important* 2.12 Orthogonality

*label_important*3. LAPLACE TRANSFORM

13 Chapters | 96 Solved Problems

#### *label_important* 3.1 Laplace transform

#### *label_important* 3.2 Laplace Transform of Some Standard Functions

#### *label_important* 3.3 First, Second Shifting Theorem and Change of Scale Property

#### *label_important* 3.4 Transforms of Derivatives

#### *label_important* 3.5 Transforms of Integrals

#### *label_important* 3.6 Laplace Transform of Periodic Functions

#### *label_important* 3.7 Laplace Transform of Unit Step and Unit Impulse Functions

#### *label_important* 3.8 Inverse Laplace Transform

#### *label_important* 3.9 First and Second Shifting Theorem, Change of Scale of Property

#### *label_important*3.10 Inverse Laplace Transform of Derivatives and Integrals

#### *label_important* 3.11 Multiplication by Power of s and Division by s

#### *label_important* 3.12 Convolution theorem

#### *label_important* 3.13 Solving Ordinary Equations by Laplace Transforms

*label_important* 4. NUMERICAL METHODS - 1

6 Chapters | 38 Solved Problems

#### *label_important* 4.1 Newton-Raphson method

#### *label_important*4.2 Newton’s forward and backward difference interpolation

#### *label_important* 4.3 Newton’s divided difference interpolations

#### *label_important* 4.4 Lagrange’s interpolations

#### *label_important* 4.5 Trapezoidal rule

#### *label_important* 4.6 Simpson’s 1/3 rule

*label_important* 5. NUMERICAL METHODS - 2

4 Chapters | 38 Solved Problems

#### *label_important* 5.1 Taylor’s series method

#### *label_important*5.2 Modified Euler’s method

#### *label_important* 5.3 Runge-Kutta method

#### *label_important* 5.4 Milne's predictor-corrector method